Výsledky vyhledávání - numerical solution to inverse problems in ((abstract OR abstracts) OR abstrakty) spaces
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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
ISSN: 0022-247X, 1096-0813Vydáno: Amsterdam Elsevier Inc 01.10.2011Vydáno v Journal of mathematical analysis and applications (01.10.2011)“…) the uniqueness of solution by the decay rate as t → ∞ , (iv) stability in an inverse source problem of determining t-dependent factor in the source by observation at one point over ( 0 , T ) …”
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An investigation of an inverse problem for second-order abstract differential equation: An investigation of an inverse problem
ISSN: 0019-5588, 0975-7465Vydáno: New Delhi Indian National Science Academy 01.06.2025Vydáno v Indian journal of pure and applied mathematics (01.06.2025)“…In this manuscript, we consider an inverse problem for a second-order abstract differential equation in a Banach space and identify the parameter using an over-determined condition on a mild solution…”
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Hanke–Raus rule for Landweber iteration in Banach spaces
ISSN: 0029-599X, 0945-3245Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2024Vydáno v Numerische Mathematik (01.02.2024)“…We consider the Landweber iteration for solving linear as well as nonlinear inverse problems in Banach spaces…”
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The Mathematics of Atmospheric Dispersion Modeling
ISSN: 0036-1445, 1095-7200Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Vydáno v SIAM review (01.01.2011)“… The results are then applied to solving an inverse problem in which emission source rates are determined from a given set of ground-level contaminant measurements…”
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UNCERTAINTY QUANTIFICATION AND WEAK APPROXIMATION OF AN ELLIPTIC INVERSE PROBLEM
ISSN: 0036-1429, 1095-7170Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Vydáno v SIAM journal on numerical analysis (01.01.2011)“…We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium…”
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A local meshless method for the numerical solution of space‐dependent inverse heat problems
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 15.03.2021Vydáno v Mathematical methods in the applied sciences (15.03.2021)“…In this paper, a local radial basis function collocation method is proposed for the numerical solution of inverse space…”
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Approximation of inverse problems for fractional differential equations in abstract spaces
ISSN: 1110-0168Vydáno: Elsevier B.V 01.05.2025Vydáno v Alexandria engineering journal (01.05.2025)“…This article focuses on approximating a fractional-order inverse problem (IP) for an abstract differential equation in a Hilbert space…”
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The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement
ISSN: 0377-0427, 1879-1778Vydáno: Kidlington Elsevier B.V 01.12.2010Vydáno v Journal of computational and applied mathematics (01.12.2010)“…A numerical technique is presented for the solution of a parabolic partial differential equation with a time-dependent coefficient subject to an extra measurement…”
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Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.04.2011Vydáno v Nonlinear analysis (01.04.2011)“… that (a,u) is a solution of the corresponding inverse problem…”
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Numerical solution of the inverse spectral problem for Bessel operators
ISSN: 0377-0427, 1879-1778Vydáno: Kidlington Elsevier B.V 01.11.2010Vydáno v Journal of computational and applied mathematics (01.11.2010)“…We consider some inverse spectral problems associated with the singular Sturm–Liouville equation − u ″ + ( q ( x ) + ℓ ( ℓ + 1 ) x 2 ) u = λ u 0 < x < 1 for ℓ = 1 , 2 … , which is obtained by separation of variables in the 3D radial…”
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On a regularized Levenberg–Marquardt method for solving nonlinear inverse problems
ISSN: 0029-599X, 0945-3245Vydáno: Berlin/Heidelberg Springer-Verlag 01.04.2010Vydáno v Numerische Mathematik (01.04.2010)“…We consider a regularized Levenberg–Marquardt method for solving nonlinear ill-posed inverse problems…”
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A new regularization method for solving a time-fractional inverse diffusion problem
ISSN: 0022-247X, 1096-0813Vydáno: Amsterdam Elsevier Inc 15.06.2011Vydáno v Journal of mathematical analysis and applications (15.06.2011)“…In this paper, we consider an inverse problem for a time-fractional diffusion equation in a one-dimensional semi-infinite domain…”
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Perturbation method for abstract second-order inverse problems
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.02.2010Vydáno v Nonlinear analysis (01.02.2010)“…We are concerned with an abstract second-order inverse problem. We restrict ourselves here to abstract inverse problems in which, in order to solve the differential equation for u…”
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A Variational Approach for Estimating the Compliance of the Cardiovascular Tissue: An Inverse Fluid-Structure Interaction Problem
ISSN: 1064-8275, 1095-7197Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Vydáno v SIAM journal on scientific computing (01.01.2011)“… An inverse elasticity problem is then solved for Young's modulus estimation. In the case of arteries, no forced deformation is required, since vessels naturally move under the action of blood…”
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Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings
ISSN: 0096-3003, 1873-5649Vydáno: Amsterdam Elsevier Inc 15.08.2010Vydáno v Applied mathematics and computation (15.08.2010)“… mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ…”
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Uncertainty assessment for inverse problems in high dimensional spaces using particle swarm optimization and model reduction techniques
ISSN: 0895-7177, 1872-9479Vydáno: Kidlington Elsevier Ltd 01.12.2011Vydáno v Mathematical and computer modelling (01.12.2011)“… Thus, both a large number of parameters and very costly forward evaluations hamper the use of global algorithms in inverse problems…”
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A NEW REGULARIZATION METHOD FOR THE TIME FRACTIONAL INVERSE ADVECTION-DISPERSION PROBLEM
ISSN: 0036-1429, 1095-7170Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Vydáno v SIAM journal on numerical analysis (01.01.2011)“…In this paper, we consider the time fractional inverse advection-dispersion problem (TFIADP) in a quarter plane…”
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Parameter identification for elliptic boundary value problems: an abstract framework and applications
ISSN: 0266-5611, 1361-6420Vydáno: IOP Publishing 01.07.2022Vydáno v Inverse problems (01.07.2022)Získat plný text
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Degenerate first-order inverse problems in Banach spaces
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 2012Vydáno v Nonlinear analysis (2012)“… All the results can be applied to inverse problems for equations from mathematical physics. As a possible application of the abstract theorems, some examples of partial…”
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Simultaneously Sparse Solutions to Linear Inverse Problems with Multiple System Matrices and a Single Observation Vector
ISSN: 1064-8275, 1095-7197Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 20.01.2010Vydáno v SIAM journal on scientific computing (20.01.2010)“…A problem that arises in slice-selective magnetic resonance imaging (MRI) radio-frequency (RF) excitation pulse design is abstracted as a novel linear inverse problem with a simultaneous sparsity constraint…”
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